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Finding the Fourth Proportional to 437.89, 604.58 and 305.07

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Solution

The fourth proportional to 437.89, 604.58 and 305.07 is: 421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.89 : 604.58 = 305.07 : x
  2. Step 2: Convert to fraction form
    437.89/604.58 = 305.07/x
  3. Step 3: Cross multiply
    437.89x = 604.58 × 305.07
  4. Step 4: Simplify right side
    437.89x = 184,437.70
  5. Step 5: Solve for x
    x = 184,437.70/437.89
  6. Step 6: Final answer
    x = 421.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.